Numerical analysis of fast fracture and crack arrest in a sheet of elastic perfectly-plastic material

Z. G. Xu; H. K. Chung; J. D. Achenbach

doi:10.1016/0167-8442(84)90030-2

Numerical analysis of fast fracture and crack arrest in a sheet of elastic perfectly-plastic material

Z. G. Xu^*, H. K. Chung, J. D. Achenbach

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The dynamic fields for acceleration, deceleration and arrest of a crack tip have been investigated numerically. We consider cracks which start to extend rapidly under brittle conditions. The crack-tips then enter regions of elasto-plastic constitutive behavior and they are subsequently arrested. Results have been obtained for a symmetrically expanding central crack and for an edge crack, both in thin sheets. The elasto-plastic behavior has been described by J₂ flow theory, with the von Mises yield criterion and a bilinear relation between effective stress and effective strain. Numerical results are presented for stress and strain components at a short distance ahead of the propagating and arresting crack tips.

Original language	English (US)
Pages (from-to)	235-245
Number of pages	11
Journal	Theoretical and Applied Fracture Mechanics
Volume	2
Issue number	3
DOIs	https://doi.org/10.1016/0167-8442(84)90030-2
State	Published - Dec 1984
Externally published	Yes

ASJC Scopus subject areas

General Materials Science
Condensed Matter Physics
Mechanical Engineering
Applied Mathematics

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10.1016/0167-8442(84)90030-2

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title = "Numerical analysis of fast fracture and crack arrest in a sheet of elastic perfectly-plastic material",

abstract = "The dynamic fields for acceleration, deceleration and arrest of a crack tip have been investigated numerically. We consider cracks which start to extend rapidly under brittle conditions. The crack-tips then enter regions of elasto-plastic constitutive behavior and they are subsequently arrested. Results have been obtained for a symmetrically expanding central crack and for an edge crack, both in thin sheets. The elasto-plastic behavior has been described by J2 flow theory, with the von Mises yield criterion and a bilinear relation between effective stress and effective strain. Numerical results are presented for stress and strain components at a short distance ahead of the propagating and arresting crack tips.",

author = "Xu, {Z. G.} and Chung, {H. K.} and Achenbach, {J. D.}",

note = "Funding Information: This work was carried out in the course of research sponsored by the Air Force Office of Scientific Research under Grant AFOSR 78-3589-E.",

year = "1984",

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T1 - Numerical analysis of fast fracture and crack arrest in a sheet of elastic perfectly-plastic material

AU - Xu, Z. G.

AU - Chung, H. K.

AU - Achenbach, J. D.

N1 - Funding Information: This work was carried out in the course of research sponsored by the Air Force Office of Scientific Research under Grant AFOSR 78-3589-E.

PY - 1984/12

Y1 - 1984/12

N2 - The dynamic fields for acceleration, deceleration and arrest of a crack tip have been investigated numerically. We consider cracks which start to extend rapidly under brittle conditions. The crack-tips then enter regions of elasto-plastic constitutive behavior and they are subsequently arrested. Results have been obtained for a symmetrically expanding central crack and for an edge crack, both in thin sheets. The elasto-plastic behavior has been described by J2 flow theory, with the von Mises yield criterion and a bilinear relation between effective stress and effective strain. Numerical results are presented for stress and strain components at a short distance ahead of the propagating and arresting crack tips.

AB - The dynamic fields for acceleration, deceleration and arrest of a crack tip have been investigated numerically. We consider cracks which start to extend rapidly under brittle conditions. The crack-tips then enter regions of elasto-plastic constitutive behavior and they are subsequently arrested. Results have been obtained for a symmetrically expanding central crack and for an edge crack, both in thin sheets. The elasto-plastic behavior has been described by J2 flow theory, with the von Mises yield criterion and a bilinear relation between effective stress and effective strain. Numerical results are presented for stress and strain components at a short distance ahead of the propagating and arresting crack tips.

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Numerical analysis of fast fracture and crack arrest in a sheet of elastic perfectly-plastic material

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